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Finding the Fourth Proportional to 12,518, 18,771.84 and 5,117.44

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Solution

The fourth proportional to 12,518, 18,771.84 and 5,117.44 is: 7,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,518 : 18,771.84 = 5,117.44 : x
  2. Step 2: Convert to fraction form
    12,518/18,771.84 = 5,117.44/x
  3. Step 3: Cross multiply
    12,518x = 18,771.84 × 5,117.44
  4. Step 4: Simplify right side
    12,518x = 96,063,764.89
  5. Step 5: Solve for x
    x = 96,063,764.89/12,518
  6. Step 6: Final answer
    x = 7,674.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.